Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 874, 993, 27, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 993, 27, 432 is 1
GCD(874, 993, 27, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 993, 27, 432 is 1
GCD(874, 993, 27, 432) = 1
Given Input numbers are 874, 993, 27, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 874, 993, 27, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 993, 27, 432 is 1.
Therefore, GCD of numbers 874, 993, 27, 432 is 1
Given Input Data is 874, 993, 27, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 993 is 3 x 331
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(874, 993) = 867882
GCD(874, 993) = ( 874 x 993 ) / 867882
GCD(874, 993) = 867882 / 867882
GCD(874, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 874, 993, 27, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 993, 27, 432?
GCD of 874, 993, 27, 432 is 1
2. Where do I get the detailed procedure to find GCD of 874, 993, 27, 432?
You can find a detailed procedure to find GCD of 874, 993, 27, 432 on our page.
3. How to find GCD of 874, 993, 27, 432 on a calculator?
You can find the GCD of 874, 993, 27, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.